A truck whose bed is 8.5 feet long, 5 feet wide, and 3.5 feet high is delivering sand for a sand sculpture competition. How many trips must the truck make to deliver 400 cubic feet of sand?

Respuesta :

Answer:

The truck will need to make 3 trips.

Step-by-step explanation:

First, we need to find the volume that the truck can carry. Using the dimensions of the truck and the volume formula, we have:

[tex]V=lwh\\V=8.5\times5\times3.5\\V=148.75\text{ ft}^3[/tex]

Since we need to move a total of 400 cubic feet, we will divide that amount by the truckload capacity (volume).

[tex]400 \div 148.75 \approx 2.689[/tex]

In context, he will need to take three truck loads: two loads will be full, and the third will not be full.